Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11440s |
Isogeny class |
Conductor |
11440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
31393716266598400 = 222 · 52 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14765227,-21837769254] |
[a1,a2,a3,a4,a6] |
Generators |
[74008629:7111768950:6859] |
Generators of the group modulo torsion |
j |
86912881496074271306241/7664481510400 |
j-invariant |
L |
4.7085835045121 |
L(r)(E,1)/r! |
Ω |
0.077017519096318 |
Real period |
R |
10.189420882764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1430h2 45760z2 102960dc2 57200bj2 |
Quadratic twists by: -4 8 -3 5 |